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Finding the Third Proportional to 7,947,510.75 and 17,165,394

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Solution

The third proportional to 7,947,510.75 and 17,165,394 is: 37,074,596.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,947,510.75 : 17,165,394 = 17,165,394 : x
  2. Step 2: Convert to fraction form
    7,947,510.75/17,165,394 = 17,165,394/x
  3. Step 3: Cross multiply
    7,947,510.75x = 17,165,394 × 17,165,394
  4. Step 4: Simplify right side
    7,947,510.75x = 294,650,751,175,236
  5. Step 5: Solve for x
    x = 294,650,751,175,236/7,947,510.75
  6. Step 6: Final answer
    x = 37,074,596.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.